Find the derivative of the vector function.

MATHEMATICS · Subjective · AP · Calculus BC · Parametric, Polar, and Vector-Valued Functions · Parametric, Polar, and Vector-Valued Functions

Problem

\mathbf{r}(t) = \frac{1}{1+t} \mathbf{i} + \frac{t}{1+t} \mathbf{j} + \frac{t^2}{1+t} \mathbf{k}